115514130151512 has 192 divisors, whose sum is σ = 323327153909760. Its totient is φ = 37218287462400.

The previous prime is 115514130151499. The next prime is 115514130151513. The reversal of 115514130151512 is 215151031415511.

115514130151512 is a `hidden beast` number, since 1 + 1 + 5 + 5 + 1 + 4 + 130 + 1 + 5 + 1 + 512 = 666.

It is a super-3 number, since 3×115514130151512³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115514130151513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14154404712 + ... + 14154412872.

It is an arithmetic number, because the mean of its divisors is an integer number (1683995593280).

Almost surely, 2^{115514130151512} is an apocalyptic number.

115514130151512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115514130151512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161663576954880).

115514130151512 is an abundant number, since it is smaller than the sum of its proper divisors (207813023758248).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

115514130151512 is a wasteful number, since it uses less digits than its factorization.

115514130151512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14974 (or 14967 counting only the distinct ones).

The product of its (nonzero) digits is 15000, while the sum is 36.

The spelling of 115514130151512 in words is "one hundred fifteen trillion, five hundred fourteen billion, one hundred thirty million, one hundred fifty-one thousand, five hundred twelve".